The Baltimore Aquarium requires 3 adult chaperones for every 15 students on a field trip. How many chaperones would be needed fo
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Answer:
a) H0 : u = 28.5%
H1 : u < 28.5%
b) critical value = - 1.645
c) test statistic Z= - 1.41
d) Fail to reject H0
e) There is not enough evidence to support the professor's claim.
Step-by-step explanation:
Given:
P = 28.5% ≈ 0.285
X = 210
n = 800
Level of significance = 0.05
a) The null and alternative hypotheses are:
H0 : u = 28.5%
H1 : u < 28.5%
b) Given a 0.05 significance level.
This is a left tailed test.
The critical value =
The critical value = -1.645
c) Calculating the test statistic, we have:
Z = -1.41
d) Decision:
We fail to reject null hypothesis H0, since Z = -1.41 is not in the rejection region, <1.645
e) There is not enough evidence to support the professor's claim that the proportion of obese male teenagers decreased.
ANSWER
The radius is 8
EXPLANATION
We were given,
We rewrite the above equation to obtain,
We now add half the square of the coefficient of
to both sides of the equation to get,
We now got two perfect squares on the left hand side of the equation,
By comparing to the general formula of the circle,
We can see that the radius is 8.
The radius is 8
EXPLANATION
We were given,
We rewrite the above equation to obtain,
We now add half the square of the coefficient of
to both sides of the equation to get,
We now got two perfect squares on the left hand side of the equation,
By comparing to the general formula of the circle,
We can see that the radius is 8.